CN109130602A - Auxiliary tool is used in a kind of drawing of mathematical education - Google Patents

Auxiliary tool is used in a kind of drawing of mathematical education Download PDF

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Publication number
CN109130602A
CN109130602A CN201811061181.3A CN201811061181A CN109130602A CN 109130602 A CN109130602 A CN 109130602A CN 201811061181 A CN201811061181 A CN 201811061181A CN 109130602 A CN109130602 A CN 109130602A
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CN
China
Prior art keywords
fixedly connected
control box
auxiliary tool
extends
mathematical education
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Pending
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CN201811061181.3A
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Chinese (zh)
Inventor
林哈尔
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Individual
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Individual
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Priority to CN201811061181.3A priority Critical patent/CN109130602A/en
Publication of CN109130602A publication Critical patent/CN109130602A/en
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L1/00Repeatedly-usable boards or tablets for writing or drawing
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L13/00Drawing instruments, or writing or drawing appliances or accessories not otherwise provided for
    • B43L13/001Mathematical drawing instruments
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L21/00Blackboard or slate cleaning devices
    • B43L21/04Wiper holders

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  • Drawing Aids And Blackboards (AREA)

Abstract

A kind of mathematical education of disclosure of the invention, which is drawn, uses auxiliary tool, including fixed plate, loose slot is fixedly connected in front of the fixed plate, transparent panel is fixedly connected at the top of the loose slot, mounting plate is fixedly connected between the two sides of the loose slot inner wall, the side at the top of the mounting plate slidably connects crushing block, and the bottom of the crushing block is fixedly connected with sliding panel, the bottom of the sliding panel runs through mounting plate and extends to the bottom of mounting plate, is related to educational aid technical field.The mathematical education, which is drawn, uses auxiliary tool, it can be very good the side that template is moved to formula, facilitate formula and drawing to form one-to-one relationship, is convenient for the explanation of teacher in this way, is also convenient for the understanding of student, to greatly improve the quality of teaching, and by the setting of template, can be very good to carry out coordinate instruction, convenient for the drawing of teacher, the effect of drawing is improved, the accuracy of drawing is also substantially increased.

Description

Auxiliary tool is used in a kind of drawing of mathematical education
Technical field
The present invention relates to educational aid technical field, auxiliary tool is used in specially a kind of mathematical education drawing.
Background technique
Mathematics is a subject for studying the concepts such as quantity, structure, variation, space and information, belongs in terms of certain angle In one kind of formal science.And in development of human history and social life, mathematics also plays irreplaceable role, and Study and the research essential basic tool of modern science and technology, mathematics teacher often use when progress mathematics is given lessons Formula, however each formula suffers from corresponding formula figure, in order to which student more understands.
But existing mathematical education drawing auxiliary tool haves the shortcomings that a large amount of, for example existing mathematical education draws Structure is complicated with auxiliary tool for figure, and operate trouble, to reduce efficiency of teaching, and existing mathematical education is drawn and used Auxiliary tool cannot well correspond formula and formula figure, so that student cannot well carry out formula Understand, cannot understand the meaning of formula, and when existing mathematics teacher draws again, more accurately formula figure cannot be carried out Drawing causes the formula figure of drawing lack of standardization, the serious accuracy for reducing drawing.
Summary of the invention
(1) the technical issues of solving
In view of the deficiencies of the prior art, it the present invention provides a kind of mathematical education drawing auxiliary tool, solves existing Mathematical education draw that structure is complicated with auxiliary tool, operate trouble, to reduce efficiency of teaching, and existing number The problem of learning teaching drawing auxiliary tool, cannot well being corresponded formula and formula figure.
(2) technical solution
In order to achieve the above object, the present invention is achieved by the following technical programs: a kind of mathematical education drawing auxiliary Tool, including fixed plate are fixedly connected with loose slot in front of the fixed plate, are fixedly connected at the top of the loose slot Isotropic disk is fixedly connected with mounting plate between the two sides of the loose slot inner wall, and the side at the top of the mounting plate slidably connects Crushing block, the bottom of the crushing block are fixedly connected with sliding panel, and the bottom of the sliding panel through mounting plate and extends to peace The bottom of loading board, one end that the sliding panel extends to mounting plate bottom are slidably connected by slide bar and loose slot, the sliding The side of plate and be located at mounting plate bottom be fixedly connected with threaded block, the internal whorl of the threaded block is connected with threaded rod, One end of the threaded rod runs through sliding panel and extends to the side of sliding panel, and the threaded rod extends to the sliding panel other side One end is rotatablely connected by the side of bearing and loose slot inner wall, and the other end of the threaded rod through loose slot and extends to work The outside of dynamic slot, the inside of the crushing block offer extruding slot, slidably connect fortune between the two sides for squeezing slot inner wall Movable plate, the two sides at the top of the maneuvering board are fixedly connected to mandril, and the top of the mandril through crushing block and extends to crowded The top of briquetting, one end that the mandril extends at the top of crushing block are fixedly connected with template.
Further, extruding spring, institute are fixedly connected between the bottom for squeezing slot inner wall and the bottom of maneuvering board It states the bottom for squeezing slot inner wall and passes through pin positioned at the two sides for squeezing spring and be connected with connecting rod, the connecting rod The other end is connected with stock by pin, and the other end of the stock is flexibly connected by pin with the bottom of maneuvering board, The first spring is fixedly connected between the side of the connecting rod and the side of stock.
Further, the two sides of the fixed plate are fixedly connected to control box, between the two sides of the operation chamber interior wall Movable plate is slidably connected, convex block is fixedly connected at the top of the movable plate, the side of the convex block is fixedly connected with baffle, The side of the baffle runs through control box and extends to the outside of control box, and the baffle extends to one end outside control box The back side is fixedly connected with cleaning brush.
Further, it is connected with pushing plate between the two sides of the operation chamber interior wall and positioned at the basal sliding of movable plate, Jacking block is fixedly connected between the top of the pushing plate and the bottom of movable plate, the side of the jacking block is fixedly connected with operation One end of bar, the operating stick runs through control box and extends to the outside of control box.
Further, the bottom of the pushing plate is fixedly connected with rope, and the other end of the rope runs through control box simultaneously Extend to the bottom of control box.
Further, the bottom of the pushing plate and it is located at the outer surface of rope and is fixedly connected with second spring, described the The bottom end of two springs is fixedly connected with the bottom of operation chamber interior wall.
Further, two control boxs mutually from the bottom of side pass through support rod and be rotatably connected to and rope phase The front of the rotating wheel of adaptation, the rotating wheel is fixedly connected with rotating handles.
Further, the two sides of the control box offer sliding slot, and the bottom of control box is fixedly connected with arc Wear-resistant block.
(3) beneficial effect
The invention has the following advantages:
(1), the mathematical education draw use auxiliary tool, by loose slot, transparent panel, mounting plate, crushing block, sliding panel, Threaded block, squeezes being equipped with for slot, maneuvering board, mandril and template at threaded rod, and teacher can carry out book in transparent plate surface Formula is write, and formula is after finishing writing, needs to draw corresponding formula figure around formula, in order to which student preferably goes Understand and learn, at this moment rotate threaded rod, when threaded rod rotation, can be very good that threaded block is driven to be moved, threaded block When movement, it just will drive sliding panel and moved, when sliding panel moves, at this moment just will drive crushing block and moved, indirectly may be used To drive template to be moved well, at this moment template can be moved to well the side of formula, facilitate formula One-to-one relationship is formed with drawing, is convenient for the explanation of teacher in this way, is also convenient for the understanding of student, greatly improves teaching Effect, and can be very good to carry out coordinate instruction by template setting convenient for the drawing of teacher to improve the effect of drawing Fruit also substantially increases the accuracy of drawing.
(2), the mathematical education, which is drawn, uses auxiliary tool, by the cooperation for squeezing spring, connecting rod, stock and the first spring Setting can be very good to squeeze maneuvering board and mandril, so as to good by squeezing the elastic force of spring itself Template is driven to be moved, at this moment template can be very good to be contacted with transparent panel, it ensure that the stability of template, And the close contact of template and transparent panel clearly sees coordinate lines clearly convenient for teacher, improves drawing efficiency.
(3), the mathematical education, which is drawn, uses auxiliary tool, passes through control box, movable plate, convex block, baffle and cleaning brush It is equipped with, by the movement of movable plate, can be very good that convex block is driven to be moved, when convex block moves, just will drive baffle It is moved, at this moment cleaning brush can be driven to be moved well, it is easy to operate, it is very easy to use, significantly The practicability for improving educational aid.
(4), the mathematical education, which is drawn, uses auxiliary tool, passes through pushing plate, jacking block, operating stick, rope, second spring, rotation Runner and rotating handles are equipped with, and when operating stick moves, can be very good to drive movable plate to be moved by convex block, when When movable plate moves, it can be very good that baffle is driven to be moved, when baffle moves, cleaning brush can be driven to be moved, At this moment the dust of transparent plate surface and dust can be cleared up well, it can also be by rotating rotating handles, rotation When handle rotates, it just will drive rotating wheel and rotated, when rotating wheel rotates, rope certainly will be will drive and moved, at this moment Can be very good that cleaning brush is driven to be moved, at this moment can well the dust to transparent plate surface and chalk dust into Row cleaning does not need teacher and finds blackboard eraser, however clears up manually transparent panel, substantially increases cleaning efficiency, meets The use of different height teachers.
Certainly, it implements any of the products of the present invention and does not necessarily require achieving all the advantages described above at the same time
Detailed description of the invention
Fig. 1 is schematic structural view of the invention;
Fig. 2 is the cross-sectional view of operation of the present invention box structure;
Fig. 3 is the cross-sectional view of activity slot structure of the present invention;
Fig. 4 is the cross-sectional view that the present invention squeezes block structure.
In figure, 1- fixed plate, 2- loose slot, 3- transparent panel, 4- mounting plate, 5- crushing block, 6- sliding panel, 7- threaded block, 8- threaded rod, 9- squeeze slot, 10- maneuvering board, 11- mandril, 12- template, 13- squeeze spring, 14- connecting rod, 15- stock, The first spring of 16-, 17- control box, 18- movable plate, 19- convex block, 20- baffle, 21- cleaning brush, 22- pushing plate, the top 23- Block, 24- operating stick, 25- rope, 26- second spring, 27- rotating wheel, 28- rotating handles.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other Embodiment shall fall within the protection scope of the present invention.
In the description of the present invention, it is to be understood that, term " aperture ", "upper", "lower", " thickness ", "top", " in ", Indicating positions or the positional relationship such as " length ", "inner", " surrounding ", are merely for convenience of description of the present invention and simplification of the description, without It is that the component of indication or suggestion meaning or element must have a particular orientation, is constructed and operated in a specific orientation, therefore not It can be interpreted as limitation of the present invention.
Fig. 1-4 is please referred to, the embodiment of the present invention provides a kind of technical solution: a kind of mathematical education drawing auxiliary tool, Including fixed plate 1, the two sides of fixed plate 1 are fixedly connected to control box 17, and the two sides of control box 17 offer sliding slot, Here sliding slot is offered, is sliding slot compatible with operating stick 24 and baffle 20, is primarily to facilitate operating stick 24 and baffle 20 more Good move, and the bottom of control box 17 is fixedly connected with arc wear-resistant block, and it is wear-resisting to be fixedly connected with arc herein Block avoids rope 25 from wearing in the process of movement, so as to be protected to rope 25, two 17 phases of control box from The bottom of side passes through support rod and is rotatably connected to rotating wheel 27 compatible with rope 25, is fixedly connected with rotation herein Wheel 27 mainly passes through the rotation of rotating wheel 27, can be very good for rope 25 to be wound, and moves to be driven by rope 25 Pushing plate 22 is moved, and the front of rotating wheel 27 is fixedly connected with rotating handles 28, is revolved convenient for teacher to rotating wheel 27 Turn, is connected with pushing plate 22, the bottom of pushing plate 22 between the two sides of 17 inner wall of control box and positioned at the basal sliding of movable plate 18 Portion and be located at rope 25 outer surface be fixedly connected with second spring 26, be fixedly connected with second spring 26 herein, mainly It by the elastic force of second spring 26 itself, can be very good that pushing plate 22 is driven to be moved, so as to by cleaning brush 21 are resetted, and the bottom end of second spring 26 is fixedly connected with the bottom of 17 inner wall of control box, and the bottom of pushing plate 22 is fixed to be connected It is connected to rope 25, by the movement of rope 25, can be very good that pushing plate 22 is driven to be moved, can be very good to drive indirectly Cleaning brush 21 is moved, at this moment can the dust well to 3 surface of transparent panel clear up, the other end of rope 25 Through control box 17 and the bottom of control box 17 is extended to, is fixedly connected between the top of pushing plate 22 and the bottom of movable plate 18 There is jacking block 23, the side of jacking block 23 is fixedly connected with operating stick 24, is fixedly connected with operating stick 24 herein, mainly works as operation When bar 24 moves, cleaning brush 21 can be driven to be moved indirectly, facilitate teacher to carry out dust when in use clear One end of reason, operating stick 24 runs through control box 17 and extends to the outside of control box 17, sliding between the two sides of 17 inner wall of control box Dynamic to be connected with movable plate 18, the top of movable plate 18 is fixedly connected with convex block 19, and the side of convex block 19 is fixedly connected with baffle 20, The side of baffle 20 runs through control box 17 and extends to the outside of control box 17, and baffle 20 extends to one end outside control box 17 The back side be fixedly connected with cleaning brush 21, be fixedly connected with cleaning brush 21, can be very good the dust to 3 surface of transparent panel It is cleared up, is not needed teacher and hold blackboard eraser in person to clear up, the front of fixed plate 1 is fixedly connected with loose slot 2, activity The top of slot 2 is fixedly connected with transparent panel 3, and transparent panel 3 is the transparent friction plate of speciality herein, write convenient for chalk or It draws, is fixedly connected with mounting plate 4 between the two sides of 2 inner wall of loose slot, mounting plate 4 is the aterrimus material system of speciality herein It forms, the writing of transparent panel 3 is clearly seen that convenient for student, the side at 4 top of mounting plate slidably connects crushing block 5, squeezes The bottom of briquetting 5 is fixedly connected with sliding panel 6, and the bottom of sliding panel 6 runs through mounting plate 4 and extends to the bottom of mounting plate 4, Sliding panel 6 extends to one end of 4 bottom of mounting plate and is slidably connected by slide bar with loose slot 2, and the side of sliding panel 6 and being located at is pacified The bottom of loading board 4 is fixedly connected with threaded block 7, and the internal whorl of threaded block 7 is connected with threaded rod 8, passes through the fortune of threaded rod 8 It is dynamic, it can be very good to drive sliding panel 6 to be moved by threaded block 7, one end of threaded rod 8 through sliding panel 6 and extends to The side of sliding panel 6, one end that threaded rod 8 extends to 6 other side of sliding panel are rotated by the side of bearing and 2 inner wall of loose slot The other end of connection, threaded rod 8 runs through loose slot 2 and extends to the outside of loose slot 2, and the inside of crushing block 5 offers extruding Slot 9 squeezes and is fixedly connected with extruding spring 13 between the bottom of 9 inner wall of slot and the bottom of maneuvering board 10, passes through and squeeze spring 13 The elastic force of itself can be very good to squeeze maneuvering board 10 and mandril, so as to drive well template 12 into Row movement, at this moment template 12 can be very good to be contacted with transparent panel 3, ensure that the stability of template 12, squeeze slot 9 The bottom of inner wall and the two sides for being located at extruding spring 13 pass through pin and are connected with connecting rod 14, the other end of connecting rod 14 It is connected with stock 15 by pin, the other end of stock 15 is flexibly connected with the bottom of maneuvering board 10 by pin, is connected It is fixedly connected with the first spring 16 between the side of bar 14 and the side of stock 15, squeezes the company of sliding between the two sides of 9 inner wall of slot It is connected to maneuvering board 10, the two sides at 10 top of maneuvering board are fixedly connected to mandril 11, and the top of mandril 11 through crushing block 5 and is prolonged The top of crushing block 5 is extended to, one end that mandril 11 extends to 5 top of crushing block is fixedly connected with template 12.
In use, fixed plate 1 is mounted on the wall, complete the installation of tool, teacher in use, motor performance bar 24, When operating stick 24 moves, it can be very good to drive movable plate 18 to be moved by convex block 19, it, can be with when movable plate 18 moves It drives baffle 20 to be moved well, when baffle 20 moves, cleaning brush 21 can be driven to be moved, it at this moment can be very Good clears up the dust on 3 surface of transparent panel and dust, can also be by rotating rotating handles 28, and rotating handles 28 rotate When, it just will drive rotating wheel 27 and rotated, when rotating wheel 27 rotates, rope 25 certainly will be will drive and moved, at this moment can To drive cleaning brush 21 to be moved well, after cleaning out, at this moment teacher can be very good to carry out on 3 surface of transparent panel Formula is write, formula after finishing writing, needs to draw corresponding formula figure around formula, at this moment rotates threaded rod 8, works as spiral shell When rasp bar 8 rotates, it can be very good that threaded block 7 is driven to be moved, when threaded block 7 moves, just will drive sliding panel 6 and transported It is dynamic, when sliding panel 6 moves, it at this moment just will drive crushing block 5 and moved, can be very good that template 12 is driven to carry out indirectly Movement, at this moment template 12 can be moved to the side of formula well, at this moment teacher can by template 12 into Row is drawn.
It should be noted that, in this document, relational terms such as first and second and the like are used merely to a reality Body or operation are distinguished with another entity or operation, are deposited without necessarily requiring or implying between these entities or operation In any actual relationship or order or sequence.Moreover, the terms "include", "comprise" or its any other variant are intended to Non-exclusive inclusion, so that the process, method, article or equipment including a series of elements is not only wanted including those Element, but also including other elements that are not explicitly listed, or further include for this process, method, article or equipment Intrinsic element.
Present invention disclosed above preferred embodiment is only intended to help to illustrate the present invention.There is no detailed for preferred embodiment All details are described, are not limited the invention to the specific embodiments described.Obviously, according to the content of this specification, It can make many modifications and variations.These embodiments are chosen and specifically described to this specification, is in order to better explain the present invention Principle and practical application, so that skilled artisan be enable to better understand and utilize the present invention.The present invention is only It is limited by claims and its full scope and equivalent.

Claims (8)

1. a kind of mathematical education, which is drawn, uses auxiliary tool, including fixed plate (1), it is characterised in that: the front of the fixed plate (1) It is fixedly connected with loose slot (2), is fixedly connected with transparent panel (3) at the top of the loose slot (2), loose slot (2) inner wall Two sides between be fixedly connected with mounting plate (4), the side at the top of the mounting plate (4) slidably connects crushing block (5), described The bottom of crushing block (5) is fixedly connected with sliding panel (6), and the bottom of the sliding panel (6) through mounting plate (4) and extends to peace The bottom of loading board (4), one end that the sliding panel (6) extends to mounting plate (4) bottom are connected by slide bar and loose slot (2) sliding Connect, the side of the sliding panel (6) and be located at mounting plate (4) bottom be fixedly connected with threaded block (7), the threaded block (7) Internal whorl be connected with threaded rod (8), one end of the threaded rod (8) is through sliding panel (6) and extends to sliding panel (6) Side, one end that the threaded rod (8) extends to sliding panel (6) other side are turned by the side of bearing and loose slot (2) inner wall The other end of dynamic connection, the threaded rod (8) runs through loose slot (2) and extends to the outside of loose slot (2), the crushing block (5) inside, which offers, squeezes slot (9), slidably connects maneuvering board (10) between the two sides for squeezing slot (9) inner wall, described Two sides at the top of maneuvering board (10) are fixedly connected to mandril (11), and the top of the mandril (11) through crushing block (5) and is prolonged The top of crushing block (5) is extended to, one end that the mandril (11) extends at the top of crushing block (5) is fixedly connected with template (12)。
2. a kind of mathematical education according to claim 1, which is drawn, uses auxiliary tool, it is characterised in that: the extruding slot (9) It is fixedly connected between the bottom of inner wall and the bottom of maneuvering board (10) and squeezes spring (13), the bottom for squeezing slot (9) inner wall The two sides that portion and being located at squeezes spring (13) pass through pin and are connected with connecting rod (14), the connecting rod (14) it is another End is connected with stock (15) by pin, and the other end of the stock (15) is living by the bottom of pin and maneuvering board (10) Dynamic connection, is fixedly connected with the first spring (16) between the side of the connecting rod (14) and the side of stock (15).
3. a kind of mathematical education according to claim 1, which is drawn, uses auxiliary tool, it is characterised in that: the fixed plate (1) Two sides be fixedly connected to control box (17), slidably connect movable plate between the two sides of control box (17) inner wall (18), it is fixedly connected with convex block (19) at the top of the movable plate (18), the side of the convex block (19) is fixedly connected with baffle (20), the side of the baffle (20) runs through control box (17) and extends to the outside of control box (17), and the baffle (20) is prolonged The back side for extending to the external one end of control box (17) is fixedly connected with cleaning brush (21).
4. a kind of mathematical education according to claim 3, which is drawn, uses auxiliary tool, it is characterised in that: the control box (17) Basal sliding between the two sides of inner wall and positioned at movable plate (18) is connected with pushing plate (22), the top of the pushing plate (22) It is fixedly connected between the bottom of movable plate (18) jacking block (23), the side of the jacking block (23) is fixedly connected with operating stick (24), one end of the operating stick (24) runs through control box (17) and extends to the outside of control box (17).
5. a kind of mathematical education according to claim 4, which is drawn, uses auxiliary tool, it is characterised in that: the pushing plate (22) Bottom be fixedly connected with rope (25), the other end of the rope (25) is through control box (17) and extends to control box (17) Bottom.
6. a kind of mathematical education according to claim 5, which is drawn, uses auxiliary tool, it is characterised in that: the pushing plate (22) Bottom and be located at rope (25) outer surface be fixedly connected with second spring (26), the bottom end of the second spring (26) and behaviour The bottom for making case (17) inner wall is fixedly connected.
7. a kind of mathematical education according to claim 3, which is drawn, uses auxiliary tool, it is characterised in that: two control boxs (17) mutually from side bottom pass through support rod be rotatably connected to rope (25) compatible rotating wheel (27), the rotation The front of runner (27) is fixedly connected with rotating handles (28).
8. a kind of mathematical education according to claim 3, which is drawn, uses auxiliary tool, it is characterised in that: the control box (17) Two sides offer sliding slot, and the bottom of control box (17) is fixedly connected with arc wear-resistant block.
CN201811061181.3A 2018-09-12 2018-09-12 Auxiliary tool is used in a kind of drawing of mathematical education Pending CN109130602A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201811061181.3A CN109130602A (en) 2018-09-12 2018-09-12 Auxiliary tool is used in a kind of drawing of mathematical education

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Application Number Priority Date Filing Date Title
CN201811061181.3A CN109130602A (en) 2018-09-12 2018-09-12 Auxiliary tool is used in a kind of drawing of mathematical education

Publications (1)

Publication Number Publication Date
CN109130602A true CN109130602A (en) 2019-01-04

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Publication number Priority date Publication date Assignee Title
CN112002188A (en) * 2020-09-07 2020-11-27 牡丹江师范学院 Mathematics teaching aid of mathematical thinking training and preparation facilities thereof
CN112002188B (en) * 2020-09-07 2022-06-28 牡丹江师范学院 Mathematics teaching aid of mathematical thinking training and preparation facilities thereof
CN113647748A (en) * 2021-08-17 2021-11-16 陈红 Accurate teaching device based on big data and artificial intelligence

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Application publication date: 20190104